126778723600 has 135 divisors (see below), whose sum is σ = 321803887887. Its totient is φ = 47991191040.

The previous prime is 126778723559. The next prime is 126778723613. The reversal of 126778723600 is 6327877621.

It is a happy number.

The square root of 126778723600 is 356060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52088019984 + 74690703616 = 228228^2 + 273296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135302332 + ... + 135303268.

Almost surely, 2^126778723600 is an apocalyptic number.

126778723600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126778723600 is the 356060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126778723600

126778723600 is an abundant number, since it is smaller than the sum of its proper divisors (195025164287).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126778723600 is an frugal number, since it uses more digits than its factorization.

126778723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

Multiplying 126778723600 by its sum of digits (49), we get a square (6212157456400 = 2492420²).

The spelling of 126778723600 in words is "one hundred twenty-six billion, seven hundred seventy-eight million, seven hundred twenty-three thousand, six hundred".